Search a number
-
+
34073367404004 = 22321735470996693
BaseRepresentation
bin1111011111101010100101…
…11101011101110111100100
311110122101022120002202011200
413233311102331131313210
513431224224023412004
6200245031111202500
710114501544136345
oct757652275356744
9143571276082150
1034073367404004
11a947485677205
1239a3791976430
131602149204676
1485b2346260cc
153e14d6d0e239
hex1efd52f5dde4

34073367404004 has 36 divisors (see below), whose sum is σ = 86627761652796. Its totient is φ = 11292137172288.

The previous prime is 34073367404003. The next prime is 34073367404039. The reversal of 34073367404004 is 40040476337043.

It can be written as a sum of positive squares in 2 ways, for example, as 22948794440100 + 11124572963904 = 4790490^2 + 3335352^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (34073367404003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2735492119 + ... + 2735504574.

Almost surely, 234073367404004 is an apocalyptic number.

It is an amenable number.

34073367404004 is an abundant number, since it is smaller than the sum of its proper divisors (52554394248792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34073367404004 is a wasteful number, since it uses less digits than its factorization.

34073367404004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470996876 (or 5470996871 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 45.

The spelling of 34073367404004 in words is "thirty-four trillion, seventy-three billion, three hundred sixty-seven million, four hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 5470996693 10941993386 16412990079 21883986772 32825980158 49238970237 65651960316 98477940474 196955880948 946482427889 1892964855778 2839447283667 3785929711556 5678894567334 8518341851001 11357789134668 17036683702002 34073367404004